6(2s-2.5)=24.5-7s

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Solution for 6(2s-2.5)=24.5-7s equation:


Simplifying
6(2s + -2.5) = 24.5 + -7s

Reorder the terms:
6(-2.5 + 2s) = 24.5 + -7s
(-2.5 * 6 + 2s * 6) = 24.5 + -7s
(-15 + 12s) = 24.5 + -7s

Solving
-15 + 12s = 24.5 + -7s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '7s' to each side of the equation.
-15 + 12s + 7s = 24.5 + -7s + 7s

Combine like terms: 12s + 7s = 19s
-15 + 19s = 24.5 + -7s + 7s

Combine like terms: -7s + 7s = 0
-15 + 19s = 24.5 + 0
-15 + 19s = 24.5

Add '15' to each side of the equation.
-15 + 15 + 19s = 24.5 + 15

Combine like terms: -15 + 15 = 0
0 + 19s = 24.5 + 15
19s = 24.5 + 15

Combine like terms: 24.5 + 15 = 39.5
19s = 39.5

Divide each side by '19'.
s = 2.078947368

Simplifying
s = 2.078947368

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